How large should n be to guarantee that the Trapezoidal Rule approximation to 3 x4 + 8x³ 18x² + 3x − 3) dx is accurate to within 0.0001. n =

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Q: Question 18 Given that m and nare inverses of each other, and m (5) = 15, what is the value of n…

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Q: 1. Find a parametric equation of the plane passes through the points (1,1,2), (2,1,1) and (1,3,0).…

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Q: - 9x 18x 9x X = y = Z = = ++ 3y + gy 3y - - 4z 4z = 2z = - 24 30 18

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Q: 7. Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: To show : Lambert quadrilateral is acute in hyperbolic geometry.

Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

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Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim x →∞0 2x+1-√√x+1 X 2x3-3x+1…

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Q: Solve the ODE d²c dt² - 4 d = dt +4 -2C at C(0)= dc dt 1

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Q: If f(x) = 2x + find f'(1), using the definition of derivative. f'(1) is the limit as x → of the…

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Q: Function f(x, y) = 5x² + √√y. What is the set of (x, y) E R² for which fis differentiable. (Note:…

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Q: 39, 24, 9,. 21 8. You are playing a game using the spinner shown. You start with a score of 0 and…

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Q: Theorem 2.2.2. The vector space of linear transformations of the space V with the operator norm is a…

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Q: Straight line whose y and x intercepts are equal

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Q: Representative matrix and constant system of linear equations Ax = b, where X= [X1 X2 X3]T 5 7 60 4…

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Q: The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of…

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Q: this amount is spent on purchasing materials to dye the costs. What amount is left over? John…

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Q: Theorem 1.3. Given integers a and b with a + b > 0, there exist integers x and y such that gcd(a, b)…

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Q: Problem 13. What are L and D for this matrix A? What is U in A = LU and what is the new U in A =…

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Q: Find y' and then find the slope of the tangent line at x = y= ( 3 +5 +5)* y' m= 0.4. Round the slope…

A: The given function is:                                            y=x3+5x+53

Q: 3. How many lists of length six (with no repetition) can be made from the 26 letters of the English…

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Q: Suppose ƒ(.) : R" → R is proper. Show that f(-) is convex i and only if epi(f) is a convex subset in…

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Q: 3. Find the solution of the DE 2yy" = 1 + (y')², x > 0, y > 0.

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Q: The plans for a concrete patio call for a  7ft  by  18ft  slab of concrete  8  inches thick, which…

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Q: tan¹ (2x) x sin(3x4 + 8x³) f(x) = { [ / (x + ¹)] 1) cot-¹ cosh (³+-+1)). if x 1

A: fx=tan42xxsin3x4+8x3if x<012x+1if 0≤x≤1cot-1cosh3x+11-xif x>1 At x=0 For continuity…

Q: Recall that solution sets that are completely enclosed are called bounded, and sets that extend…

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Q: Find the general solution of the following DEs. 1. y' + 2y = x²y³

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Q: Define f by where h is some continuos function Moreover, suppose that f(0,0) = 5. approximate the…

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Q: (c) (R x A)T-AX RT. (e) (R.S)-¹ S-¹.R-¹. - (d) (R.S)T=ST.RT. (f) (R.S)-T=R-T.S-T.

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Q: Solve the initial value problem. Sketch the graph of the solution. d²x (a) = 4- dt2 dx dt x(0) = 3,…

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Q: 3. de +rtan0 = sece

A: Explanation of the answer is as follows

Q: Find the percent error in the estimate compared to the actual amount of soundproofing material…

A: We meed to find the percentage error for the sound proofing material  Given  Actual soundproofing…

Q: Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: In a hyperbolic plane, let ABCD form a quadrilateral with right angles at A, B, and C. The…

Q: Function f(x, y) = 5x² + √y: What is the set of (x, y) E R² for which fis differentiable. (Note:…

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Q: Show all necessary solutions and box all final answers. 1. Given: f(x) = tan¹ (2x) x sin(3x4 + 8x³)'…

A: Removable discontinuity means when two-sided limit exists and are equal but the value of the…

Q: (2x + 3y - 1) dx + (4x +6y + 2) dy = 0 Give the: a. homogeneity b. degree c. reducible…

A: Given : 2x+3y-1dx+4x+6y+2dy=0 To check homogeneity and find degree and reducible homogeneous form.

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 4. If u(x, t) satisfies the wave equation Utt = Uxx, prove the identity u(x + h, t + k) + u(x − h, t…

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Q: 39-40. Intervals of continuity Complete the following steps for each function. a. Use the continuity…

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Q: Solve the differential equation by appropriate Substitution dy (a) x + 3y 3x+y dy 2 2 (b) x dx = y +…

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Q: Solve the differential equation (2x³ − 8xy³ – 18x) dx + (12x²y² + 3y³ − 6y³) dy = 0 using the…

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Q: Find the Laplace inverse of the following: 4) 3 s (s²+8)(S-2)

A: Given,         3s(s2+8)(s-2).

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: 4. (a) find and solve the indicial equation, (b) determine the appropriate form of each of the two…

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Q: where r is the population growth/decay rate, and K is the population carrying capacity. Consider the…

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Q: 17. How many 10-digit binary strings are there that have exactly four l's or exactly five 1's? How…

A: Binary number means containing only the digit 0 and 1.Given that there is a 10 digit binary string.…

Q: ) Compute the number of different sequences consisting of 3 x's, 4 y's, and 7 z's b) Compute the…

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Q: K The drama society members are voting for the type of play they will perform next season. The…

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